Least Common Multiple (LCM) of 150 and 181
The least common multiple (LCM) of 150 and 181 is 27150.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 150 and 181?
First, calculate the GCD of 150 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 181 = 0 remainder 150 |
| 2 | 181 ÷ 150 = 1 remainder 31 |
| 3 | 150 ÷ 31 = 4 remainder 26 |
| 4 | 31 ÷ 26 = 1 remainder 5 |
| 5 | 26 ÷ 5 = 5 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 161 | 27853 |
| 200 and 112 | 2800 |
| 197 and 131 | 25807 |
| 195 and 29 | 5655 |
| 159 and 86 | 13674 |